Numerous studies have shown that watching too much television hurts school grades. Others have argued that television is not necessarily a bad thing for children (Psychology Today, October 22, 2012). Like books and stories, television not only entertains, it also exposes a child to new information about the world. While watching too much television is harmful, a little bit may actually help. Researcher Matt Castle gathers information on the grade point average (GPA) of 28 middle school children and the number of hours of television they watched per week. A portion of the data is shown in the accompanying table.
a. Estimate a quadratic regression model where the GPA of middle school children is regressed on hours and hours-squared. (Negative values for regression coefficients should be indicted by a minus sign. Round your answers to 4 decimal places.)
constant:
hours:
hours squared:
b.Is the quadratic term in this model justified?
c.Find the optimal number of weekly hours of TV for middle school children.(Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)
Optimal number of weekly hours:
Be sure to show your code in Rstudio.
values (column 1): GPA 3.24 3.1 3.24 2.61 3.03 3.37 1.6 3.2 2.96 2.18 2.5 2.95 2.72 2.86 3.45 2.49 3.62 2.33 2.36 3.28 3.35 2.64 2.88 2.02 2.6 3.18 3.31.......... and for the values for column 2: Hours 19 21 18 30 23 10 36 10 13 31 33 4 25 21 8 27 11 29 30 10 15 18 24 29 22 21 4
In: Statistics and Probability
I want each of you to research your city/town’s plans for disposing hazardous waste (including, if applicable, its policy of disposing of drugs). How does it differ from the City of Boston? Did any items, that were listed as hazardous material, surprise you? If you live in the City of Boston, please research another city or town in Massachusetts.
In: Nursing
Each of a sample of 184 residents selected from a small town is asked how much money he or she spent last week on state lottery tickets. 100 of the residents responded with $0. The mean expenditure for the remaining residents was $20. The largest expenditure was $228. What is the mode of the data? What is the median of the data? What is the mean of the 184 data points?
In: Statistics and Probability
Social Work
1. Is there a duty of Social Workers to work at the political level to make changes? What are the duties of voters to promote political change to address the promotion of human rights, social justice, economic equality and diversity?
2. what is the best method to gather many people in a small town to become more educated on issues that minorities struggle with daily?
In: Psychology
You are a business consultant in a remote and isolated small town. Two customers, a dentist and a portrait artist, came to you to ask for advice. They are considering to raise the price of their service to increase revenue. Write a short report for each of them using your economic training. How would your report be different if all these happened in the context of a great metropolitan area?
In: Economics
Suppose the demand for pizza in a small isolated town is p = 20 - 2Q. There are only two firms, A and B. Each has a cost function TC = 4 + 4Q.
In: Economics
Suppose chipotle has a perfect substitutes and production function, McDonald's has a near perfect complements production function, and Pizza Hut has a Cobb-Douglas production function. The town passes a law to increase the minimum wage in the city to $15. Which one of these firms will see a large substitution out of labor (as percent of initial labor)? Explain your answer
In: Economics
In: Civil Engineering
Consider the following contingency table, which you will use to
conduct a χ2 (Chi2) test.
Here is fake data for the purposes of this problem - let's say this is data from a random sample of 30 year olds, asking about school achievements and pre-K participation.
| Public Pre-K (Headstart, etc.) | Private Pre-K | No Pre-K | TOTAL | |
| Did Not Graduate from High School | 25 | 50 | 25 | 100 |
| Graduated from High School | 75 | 150 | 25 | 250 |
| TOTAL | 100 | 200 | 50 | 350 |
A. What is your alternative hypothesis? (4 pts)
B. What are the degrees of freedom for this problem? (2 pts)
C. What is your alpha level for this problem? (2 pts)
D. How many respondents were observed to have
attended public or private pre-K and graduated from high school?
(Round to whole number if necessary). (4
pts)
E. How many respondents were expected to have
attended public or private pre-K and did not graduate from high
school? (Round to whole number if necessary). (4
pts)
F. What is your calculated χ2 (Chi2)
statistic? (Round to two decimal
places). (4 pts)
G. Using the Bognar Chi2 App [Link (Links to an external site.)],
what is the returned alpha level given your χ2 (Chi2) statistic and
your df? (2 pts)
H. What decision do you make about the alternative hypothesis?
Explain why. (2 pts)
I. Report your final results in a full sentence (as exemplified on
your worksheets from class). (4 pts)
J. Based on the results of this test alone, can we say that pre-K
participation CAUSES improvements in high school graduation rates?
Why or why not? Explain.
In: Statistics and Probability
In: Economics